Extensions 1→N→G→Q→1 with N=C3 and Q=C12.D6

Direct product G=N×Q with N=C3 and Q=C12.D6

Semidirect products G=N:Q with N=C3 and Q=C12.D6
extensionφ:Q→Aut NdρLabelID
C31(C12.D6) = D12⋊(C3⋊S3)φ: C12.D6/C324Q8C2 ⊆ Aut C372C3:1(C12.D6)432,662
C32(C12.D6) = (C3×D12)⋊S3φ: C12.D6/C4×C3⋊S3C2 ⊆ Aut C3144C3:2(C12.D6)432,661
C33(C12.D6) = C62.90D6φ: C12.D6/C2×C3⋊Dic3C2 ⊆ Aut C372C3:3(C12.D6)432,675
C34(C12.D6) = C62.91D6φ: C12.D6/C327D4C2 ⊆ Aut C372C3:4(C12.D6)432,676
C35(C12.D6) = C62.100D6φ: C12.D6/D4×C32C2 ⊆ Aut C3216C3:5(C12.D6)432,725

Non-split extensions G=N.Q with N=C3 and Q=C12.D6
extensionφ:Q→Aut NdρLabelID
C3.(C12.D6) = C36.27D6φ: C12.D6/D4×C32C2 ⊆ Aut C3216C3.(C12.D6)432,389
C3.2(C12.D6) = C62.16D6central stem extension (φ=1)726C3.2(C12.D6)432,391